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ladessa [460]
4 years ago
11

Find the value of x.

Mathematics
1 answer:
Reptile [31]4 years ago
8 0

Answer:

3°

Step-by-step explanation:

20x + 5 = 9x - 2 + 40

Exterior angle is equal to the sum of interior angles

20x + 5 = 9x + 38

11x = 33

x = 3

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Given:    ΔQRS ≅ ΔTUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV.
tresset_1 [31]
Your answer will be 8.
7 0
4 years ago
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Find the perimeter of the rectangle .23m 27m
lions [1.4K]

Answer:

<u>If the width is 23 meters, the perimeter of the rectangle is 100 meters, or if the width of the rectangle is 0.23 meters, the perimeter is 54.46 meters.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of the rectangle = 27 meters

Width of the rectangle = 23 meters or 0.23 meters (it's not clear)

2. We will calculate the perimeter for any of the two possible values of the width of the rectangle, this way:

Perimeter of the rectangle = 2 * Length + 2 * Width

Replacing with the values we know:

Perimeter of the rectangle = 2 * 27 + 2 * 23

Perimeter of the rectangle = 54 + 46 = 100 meters

Perimeter of the rectangle = 2 * 27 + 2 * 0.23

Perimeter of the rectangle = 54 + 0.46 = 54.46 meters

7 0
3 years ago
16 more than eight of a certain number is twenty four more than 6 times of thatnumber.
Nataly_w [17]
We can write this in algebraic terms as:
16+8x = 24+6x
so
2x = 8
x = 4
The number is 4.
3 0
4 years ago
Denise’s mother bought some zucchini for $0.78 per pound. If she paid $2.73 for the zucchini, how many pounds of zucchini did sh
ankoles [38]
0.78p = 2.73.....with p being the number of lbs
divide both sides by 0.78
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7 0
3 years ago
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A study found that out of 300 people 60% of them prefer to eat hamburgers rather than hot dogs. Find the 95% confidence interval
Lerok [7]

Answer:

(0.5446, 0.6554)

Step-by-step explanation:

As the sample is sufficiently large, the formula is used to estimate the proportion shown in the attached image.

Where:

P: sample proportion = 0.6

n: Sample size = 300

1-\alpha: Confidence level = 0.95

α: Significance = 0.05

Z_{\alpha / 2} = 1.96 *

* Obtained from the normal standard table.

When introducing these values in the formula shown in the image we obtain:

0.6 + 1.96 *\sqrt {\frac{0.6*0.4}{300}}

0.6 - 1.96 *\sqrt{\frac{0.6*0.4}{300}}

Finally, the confidence interval is:

(0.5446, 0.6554)

8 0
3 years ago
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